On Rational Functions with More than Three Branch Points

Three More Learning Points

Kathryn Maitland, Charles Newton, Kevin Marsh, Mike Levin The study by Planche et al. [1] provides important new information addressing intracellular volume depletion in children with severe childhood malaria, but does not address the question of whether intravascular volume depletion (hypovolemic shock) is present. Using sophisticated methodology to determine total body water and extracellular...

Complete Growth Series of Coxeter Groups with more than Three Generators

Fixed Points of Maps on the Space of Rational Functions

Given integers s, t, define a function φs,t on the space of all formal series expansions by φs,t( ∑ anx ) = ∑ asn+tx . For each function φs,t, we determine the collection of all rational functions whose Taylor expansions at zero are fixed by φs,t. This collection can be described as a subspace of rational functions whose basis elements correspond to certain s-cyclotomic cosets associated with t...

Domitilla Catacomb Walkthrough – Dealing with more than 1 Billion Points

In this paper we would like to present our application for editing and visualizing huge point clouds. We also show how we used our application to build a model of the Domitilla Catacomb in Rome, which is the largest catacomb in Rome. It is an Early-Christian necropolis spanning 15 km of subterranean galleries. The catacomb contains tombs and community burials, where some of the tombs are painte...

Rational Points on Quartics